{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "class treeNode:\n",
    "    def __init__(self, nameValue, numOccur, parentNode):\n",
    "        self.name = nameValue\n",
    "        self.count = numOccur\n",
    "        self.nodeLink = None\n",
    "        self.parent = parentNode      #needs to be updated\n",
    "        self.children = {} \n",
    "    \n",
    "    def inc(self, numOccur):\n",
    "        self.count += numOccur\n",
    "        \n",
    "    def disp(self, ind=1):\n",
    "        print('  '*ind, self.name, ' ', self.count)\n",
    "        for child in self.children.values():\n",
    "            child.disp(ind+1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "rootNode = treeNode('pyramid', 9, None)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "rootNode.children['eye'] = treeNode('eye', 13, None)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "   pyramid   9\n",
      "     eye   13\n"
     ]
    }
   ],
   "source": [
    "rootNode.disp()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "   pyramid   9\n",
      "     eye   13\n",
      "     phoenix   3\n"
     ]
    }
   ],
   "source": [
    "rootNode.children['phoenix'] = treeNode('phoenix', 3, None)\n",
    "rootNode.disp()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "def createTree(dataSet, minSup=1): #create FP-tree from dataset but don't mine\n",
    "    headerTable = {}\n",
    "    #go over dataSet twice\n",
    "    for trans in dataSet:#first pass counts frequency of occurance\n",
    "        for item in trans:\n",
    "            headerTable[item] = headerTable.get(item, 0) + dataSet[trans]\n",
    "    headerTableCopy = headerTable.copy()\n",
    "    for k in headerTableCopy.keys():  #remove items not meeting minSup\n",
    "        if headerTable[k] < minSup: \n",
    "            del(headerTable[k])\n",
    "    freqItemSet = set(headerTable.keys())\n",
    "    #print 'freqItemSet: ',freqItemSet\n",
    "    if len(freqItemSet) == 0: return None, None  #if no items meet min support -->get out\n",
    "    for k in headerTable:\n",
    "        headerTable[k] = [headerTable[k], None] #reformat headerTable to use Node link \n",
    "    #print 'headerTable: ',headerTable\n",
    "    retTree = treeNode('Null Set', 1, None) #create tree\n",
    "    for tranSet, count in dataSet.items():  #go through dataset 2nd time\n",
    "        localD = {}\n",
    "        for item in tranSet:  #put transaction items in order\n",
    "            if item in freqItemSet:\n",
    "                localD[item] = headerTable[item][0]\n",
    "        if len(localD) > 0:\n",
    "            orderedItems = [v[0] for v in sorted(localD.items(), key=lambda p: p[1], reverse=True)]\n",
    "            updateTree(orderedItems, retTree, headerTable, count)#populate tree with ordered freq itemset\n",
    "    return retTree, headerTable #return tree and header table\n",
    "\n",
    "def updateTree(items, inTree, headerTable, count):\n",
    "    if items[0] in inTree.children:#check if orderedItems[0] in retTree.children\n",
    "        inTree.children[items[0]].inc(count) #incrament count\n",
    "    else:   #add items[0] to inTree.children\n",
    "        inTree.children[items[0]] = treeNode(items[0], count, inTree)\n",
    "        if headerTable[items[0]][1] == None: #update header table \n",
    "            headerTable[items[0]][1] = inTree.children[items[0]]\n",
    "        else:\n",
    "            updateHeader(headerTable[items[0]][1], inTree.children[items[0]])\n",
    "    if len(items) > 1:#call updateTree() with remaining ordered items\n",
    "        updateTree(items[1::], inTree.children[items[0]], headerTable, count)\n",
    "        \n",
    "def updateHeader(nodeToTest, targetNode):   #this version does not use recursion\n",
    "    while (nodeToTest.nodeLink != None):    #Do not use recursion to traverse a linked list!\n",
    "        nodeToTest = nodeToTest.nodeLink\n",
    "    nodeToTest.nodeLink = targetNode"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "def loadSimpDat():\n",
    "    simpDat = [['r', 'z', 'h', 'j', 'p'],\n",
    "               ['z', 'y', 'x', 'w', 'v', 'u', 't', 's'],\n",
    "               ['z'],\n",
    "               ['r', 'x', 'n', 'o', 's'],\n",
    "               ['y', 'r', 'x', 'z', 'q', 't', 'p'],\n",
    "               ['y', 'z', 'x', 'e', 'q', 's', 't', 'm']]\n",
    "    return simpDat\n",
    "\n",
    "def createInitSet(dataSet):\n",
    "    retDict = {}\n",
    "    for trans in dataSet:\n",
    "        retDict[frozenset(trans)] = 1\n",
    "    return retDict"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[['r', 'z', 'h', 'j', 'p'],\n",
       " ['z', 'y', 'x', 'w', 'v', 'u', 't', 's'],\n",
       " ['z'],\n",
       " ['r', 'x', 'n', 'o', 's'],\n",
       " ['y', 'r', 'x', 'z', 'q', 't', 'p'],\n",
       " ['y', 'z', 'x', 'e', 'q', 's', 't', 'm']]"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "simpDat = loadSimpDat()\n",
    "simpDat"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{frozenset({'z'}): 1,\n",
       " frozenset({'h', 'j', 'p', 'r', 'z'}): 1,\n",
       " frozenset({'s', 't', 'u', 'v', 'w', 'x', 'y', 'z'}): 1,\n",
       " frozenset({'n', 'o', 'r', 's', 'x'}): 1,\n",
       " frozenset({'p', 'q', 'r', 't', 'x', 'y', 'z'}): 1,\n",
       " frozenset({'e', 'm', 'q', 's', 't', 'x', 'y', 'z'}): 1}"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "initSet = createInitSet(simpDat)\n",
    "initSet"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "   Null Set   1\n",
      "     z   5\n",
      "       r   1\n",
      "       x   3\n",
      "         s   2\n",
      "           y   2\n",
      "             t   2\n",
      "         y   1\n",
      "           r   1\n",
      "             t   1\n",
      "     x   1\n",
      "       s   1\n",
      "         r   1\n"
     ]
    }
   ],
   "source": [
    "myFPtree, myHeaderTab = createTree(initSet, 3)\n",
    "myFPtree.disp()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'r': [3, <__main__.treeNode at 0x10538dba8>],\n",
       " 's': [3, <__main__.treeNode at 0x10538dac8>],\n",
       " 't': [3, <__main__.treeNode at 0x10538dcf8>],\n",
       " 'x': [4, <__main__.treeNode at 0x10538dc50>],\n",
       " 'y': [3, <__main__.treeNode at 0x10538da90>],\n",
       " 'z': [5, <__main__.treeNode at 0x10538d978>]}"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "myHeaderTab"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "myHeaderTab['r'][0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "def ascendTree(leafNode, prefixPath): #ascends from leaf node to root\n",
    "    if leafNode.parent != None:\n",
    "        prefixPath.append(leafNode.name)\n",
    "        ascendTree(leafNode.parent, prefixPath)\n",
    "    \n",
    "def findPrefixPath(basePat, treeNode): #treeNode comes from header table\n",
    "    condPats = {}\n",
    "    while treeNode != None:\n",
    "        prefixPath = []\n",
    "        ascendTree(treeNode, prefixPath)\n",
    "        if len(prefixPath) > 1: \n",
    "            condPats[frozenset(prefixPath[1:])] = treeNode.count\n",
    "        treeNode = treeNode.nodeLink\n",
    "    return condPats"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{frozenset({'z'}): 3}"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "findPrefixPath('x', myHeaderTab['x'][1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{}"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "findPrefixPath('z', myHeaderTab['z'][1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{frozenset({'z'}): 1, frozenset({'s', 'x'}): 1, frozenset({'x', 'y', 'z'}): 1}"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "findPrefixPath('r', myHeaderTab['r'][1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [],
   "source": [
    "def mineTree(inTree, headerTable, minSup, preFix, freqItemList):\n",
    "    bigL = [v[0] for v in sorted(headerTable.items(), key=lambda p: p[0])]#(sort header table)\n",
    "    for basePat in bigL:  #start from bottom of header table\n",
    "        newFreqSet = preFix.copy()\n",
    "        newFreqSet.add(basePat)\n",
    "        #print 'finalFrequent Item: ',newFreqSet    #append to set\n",
    "        freqItemList.append(newFreqSet)\n",
    "        condPattBases = findPrefixPath(basePat, headerTable[basePat][1])\n",
    "        #print 'condPattBases :',basePat, condPattBases\n",
    "        #2. construct cond FP-tree from cond. pattern base\n",
    "        myCondTree, myHead = createTree(condPattBases, minSup)\n",
    "        #print 'head from conditional tree: ', myHead\n",
    "        if myHead != None: #3. mine cond. FP-tree\n",
    "            print('conditional tree for: ',newFreqSet)\n",
    "            myCondTree.disp(1)            \n",
    "            mineTree(myCondTree, myHead, minSup, newFreqSet, freqItemList)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "conditional tree for:  {'s'}\n",
      "   Null Set   1\n",
      "     x   3\n",
      "conditional tree for:  {'t'}\n",
      "   Null Set   1\n",
      "     x   3\n",
      "       z   2\n",
      "         y   2\n",
      "       y   1\n",
      "         z   1\n",
      "conditional tree for:  {'y', 't'}\n",
      "   Null Set   1\n",
      "     x   3\n",
      "conditional tree for:  {'z', 't'}\n",
      "   Null Set   1\n",
      "     x   3\n",
      "conditional tree for:  {'x'}\n",
      "   Null Set   1\n",
      "     z   3\n",
      "conditional tree for:  {'y'}\n",
      "   Null Set   1\n",
      "     x   3\n",
      "       z   3\n",
      "conditional tree for:  {'z', 'y'}\n",
      "   Null Set   1\n",
      "     x   3\n"
     ]
    }
   ],
   "source": [
    "freqItems = []\n",
    "mineTree(myFPtree, myHeaderTab, 3, set([]), freqItems)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[{'r'},\n",
       " {'s'},\n",
       " {'s', 'x'},\n",
       " {'t'},\n",
       " {'t', 'x'},\n",
       " {'t', 'y'},\n",
       " {'t', 'x', 'y'},\n",
       " {'t', 'z'},\n",
       " {'t', 'x', 'z'},\n",
       " {'x'},\n",
       " {'x', 'z'},\n",
       " {'y'},\n",
       " {'x', 'y'},\n",
       " {'y', 'z'},\n",
       " {'x', 'y', 'z'},\n",
       " {'z'}]"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "freqItems"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [],
   "source": [
    "import twitter\n",
    "from time import sleep\n",
    "import re\n",
    "\n",
    "def textParse(bigString):\n",
    "    urlsRemoved = re.sub('(http:[/][/]|www.)([a-z]|[A-Z]|[0-9]|[/.]|[~])*', '', bigString)    \n",
    "    listOfTokens = re.split(r'\\W*', urlsRemoved)\n",
    "    return [tok.lower() for tok in listOfTokens if len(tok) > 2]\n",
    "\n",
    "def getLotsOfTweets(searchStr):\n",
    "    CONSUMER_KEY = ''\n",
    "    CONSUMER_SECRET = ''\n",
    "    ACCESS_TOKEN_KEY = ''\n",
    "    ACCESS_TOKEN_SECRET = ''\n",
    "    api = twitter.Api(consumer_key=CONSUMER_KEY, consumer_secret=CONSUMER_SECRET,\n",
    "                      access_token_key=ACCESS_TOKEN_KEY, \n",
    "                      access_token_secret=ACCESS_TOKEN_SECRET)\n",
    "    #you can get 1500 results 15 pages * 100 per page\n",
    "    resultsPages = []\n",
    "    for i in range(1,15):\n",
    "        print(\"fetching page %d\" % i)\n",
    "        searchResults = api.GetSearch(searchStr, per_page=100, page=i)\n",
    "        resultsPages.append(searchResults)\n",
    "        sleep(6)\n",
    "    return resultsPages\n",
    "\n",
    "def mineTweets(tweetArr, minSup=5):\n",
    "    parsedList = []\n",
    "    for i in range(14):\n",
    "        for j in range(100):\n",
    "            parsedList.append(textParse(tweetArr[i][j].text))\n",
    "    initSet = createInitSet(parsedList)\n",
    "    myFPtree, myHeaderTab = createTree(initSet, minSup)\n",
    "    myFreqList = []\n",
    "    mineTree(myFPtree, myHeaderTab, minSup, set([]), myFreqList)\n",
    "    return myFreqList"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [],
   "source": [
    "# lotsOtweets = getLotsOfTweets('RIMM') #twitter API stop working"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [],
   "source": [
    "# listOfTerms = mineTweets(lotsOtweets, 20)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[['1', '2', '3'],\n",
       " ['1'],\n",
       " ['4', '5', '6', '7'],\n",
       " ['1', '8'],\n",
       " ['9', '10'],\n",
       " ['11', '6', '12', '13', '14', '15', '16'],\n",
       " ['1', '3', '7'],\n",
       " ['17', '18'],\n",
       " ['11', '6', '19', '20', '21', '22', '23', '24'],\n",
       " ['1', '25', '3'],\n",
       " ['26', '3'],\n",
       " ['11',\n",
       "  '27',\n",
       "  '6',\n",
       "  '3',\n",
       "  '28',\n",
       "  '7',\n",
       "  '29',\n",
       "  '30',\n",
       "  '31',\n",
       "  '32',\n",
       "  '33',\n",
       "  '34',\n",
       "  '35',\n",
       "  '36',\n",
       "  '37'],\n",
       " ['6', '2', '38'],\n",
       " ['39',\n",
       "  '11',\n",
       "  '27',\n",
       "  '1',\n",
       "  '40',\n",
       "  '6',\n",
       "  '41',\n",
       "  '42',\n",
       "  '43',\n",
       "  '44',\n",
       "  '45',\n",
       "  '46',\n",
       "  '47',\n",
       "  '3',\n",
       "  '48',\n",
       "  '7',\n",
       "  '49',\n",
       "  '50',\n",
       "  '51'],\n",
       " ['52', '6', '3', '53'],\n",
       " ['54', '1', '6', '55'],\n",
       " ['11', '6', '56', '57', '58', '59', '60', '61', '62', '63', '64'],\n",
       " ['3'],\n",
       " ['1', '65', '66', '67', '68', '3'],\n",
       " ['69', '11', '1', '6'],\n",
       " ['11', '70', '6'],\n",
       " ['6', '3', '71'],\n",
       " ['72', '6', '73'],\n",
       " ['74'],\n",
       " ['75', '76'],\n",
       " ['6', '3', '77'],\n",
       " ['78', '79', '80', '81'],\n",
       " ['82', '6', '83', '7', '84', '85', '86', '87', '88'],\n",
       " ['11',\n",
       "  '27',\n",
       "  '1',\n",
       "  '6',\n",
       "  '89',\n",
       "  '90',\n",
       "  '91',\n",
       "  '92',\n",
       "  '93',\n",
       "  '14',\n",
       "  '94',\n",
       "  '95',\n",
       "  '96',\n",
       "  '97',\n",
       "  '98',\n",
       "  '99',\n",
       "  '100',\n",
       "  '101',\n",
       "  '102',\n",
       "  '103',\n",
       "  '104',\n",
       "  '105',\n",
       "  '106',\n",
       "  '107',\n",
       "  '108',\n",
       "  '109',\n",
       "  '110',\n",
       "  '111',\n",
       "  '112',\n",
       "  '113',\n",
       "  '114',\n",
       "  '115',\n",
       "  '116',\n",
       "  '117',\n",
       "  '118',\n",
       "  '119',\n",
       "  '120',\n",
       "  '121',\n",
       "  '122',\n",
       "  '123',\n",
       "  '124',\n",
       "  '125',\n",
       "  '126',\n",
       "  '127',\n",
       "  '128',\n",
       "  '129',\n",
       "  '130',\n",
       "  '131',\n",
       "  '132',\n",
       "  '133',\n",
       "  '64',\n",
       "  '134',\n",
       "  '135',\n",
       "  '136',\n",
       "  '137'],\n",
       " ['6', '138'],\n",
       " ['1', '6', '139', '140', '90', '141', '142', '143', '144'],\n",
       " ['6', '3'],\n",
       " ['145', '11', '146'],\n",
       " ['147', '3'],\n",
       " ['3', '148'],\n",
       " ['149'],\n",
       " ['150'],\n",
       " ['1', '6'],\n",
       " ['11', '3', '64'],\n",
       " ['151',\n",
       "  '11',\n",
       "  '6',\n",
       "  '2',\n",
       "  '152',\n",
       "  '153',\n",
       "  '154',\n",
       "  '155',\n",
       "  '156',\n",
       "  '157',\n",
       "  '158',\n",
       "  '159',\n",
       "  '3'],\n",
       " ['160',\n",
       "  '27',\n",
       "  '161',\n",
       "  '6',\n",
       "  '91',\n",
       "  '3',\n",
       "  '162',\n",
       "  '163',\n",
       "  '164',\n",
       "  '165',\n",
       "  '166',\n",
       "  '167',\n",
       "  '168',\n",
       "  '169',\n",
       "  '170',\n",
       "  '171',\n",
       "  '172',\n",
       "  '173',\n",
       "  '174',\n",
       "  '175',\n",
       "  '176',\n",
       "  '177',\n",
       "  '178',\n",
       "  '179',\n",
       "  '180',\n",
       "  '181',\n",
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       "  '3255',\n",
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       "  '1817',\n",
       "  '496'],\n",
       " ['1', '6'],\n",
       " ['6', '378', '3'],\n",
       " ['3', '3256'],\n",
       " ['1', '6'],\n",
       " ['11', '6', '3257', '3258', '238', '1044', '2292', '3259', '3', '423', '473'],\n",
       " ['11', '5', '6', '3'],\n",
       " ['6'],\n",
       " ...]"
      ]
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "parseDat = [line.split() for line in open('kosarak.dat').readlines()]\n",
    "parseDat"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "   Null Set   1\n",
      "     3   76514\n",
      "       1   12917\n",
      "     1   16829\n",
      "     6   412762\n",
      "       11   261773\n",
      "         3   117401\n",
      "           1   34141\n",
      "         1   43366\n",
      "       3   68888\n",
      "         1   13436\n",
      "       1   16461\n",
      "     11   21190\n",
      "       3   9718\n",
      "         1   1565\n",
      "       1   1882\n"
     ]
    }
   ],
   "source": [
    "initSet = createInitSet(parseDat)\n",
    "myFPtree, myHeaderTab = createTree(initSet, 100000)\n",
    "myFPtree.disp()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "conditional tree for:  {'1'}\n",
      "   Null Set   1\n",
      "     6   107404\n",
      "conditional tree for:  {'11'}\n",
      "   Null Set   1\n",
      "     6   261773\n",
      "conditional tree for:  {'3'}\n",
      "   Null Set   1\n",
      "     6   186289\n",
      "       11   117401\n",
      "     11   9718\n",
      "conditional tree for:  {'11', '3'}\n",
      "   Null Set   1\n",
      "     6   117401\n"
     ]
    }
   ],
   "source": [
    "myFreqList = []\n",
    "mineTree(myFPtree, myHeaderTab, 100000, set([]), myFreqList)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "9"
      ]
     },
     "execution_count": 53,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(myFreqList)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[{'1'},\n",
       " {'1', '6'},\n",
       " {'11'},\n",
       " {'11', '6'},\n",
       " {'3'},\n",
       " {'11', '3'},\n",
       " {'11', '3', '6'},\n",
       " {'3', '6'},\n",
       " {'6'}]"
      ]
     },
     "execution_count": 54,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "myFreqList"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
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